The Dimension of Cohomological Support Varieties
Connections Workshop: Commutative Algebra January 18, 2024 - January 19, 2024
Location: SLMath: Eisenbud Auditorium, Online/Virtual
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The Dimension of Cohomological Support Varieties
Given a complex of R-modules M, one can construct a variety that contains homological information about M called the cohomological support variety V_R(M). These have various homological applications – for example, Pollitz showed they can be used to characterize when R is a complete intersection. In this talk, we will discuss the following realizability question: given an appropriately chosen variety V, when can V be realized as V_R(M) for some M? To study this question, we give bounds on the dimension of such varieties. This is joint work with Ben Briggs and Josh Pollitz.
The Dimension of Cohomological Support Varieties
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